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Nilai cos2 225∘tan2 225∘+cos 240∘+sin 330∘​ adalah ...

Pertanyaan

Nilai fraction numerator tan squared space 225 degree plus cos space 240 degree plus sin space 330 degree over denominator cos squared space 225 degree end fraction adalah ...

  1. negative 2 square root of 2 

  2. negative 1 half square root of 3 

  3. negative 1 

  4. 0

  5. 1 half square root of 3 

S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Ingat konsep nilai sudut pada kuadran III dan IV sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 225 degree end cell equals cell tan space open parentheses 180 degree plus 45 degree close parentheses end cell row blank equals cell tan space 45 degree end cell row blank equals 1 row cell cos space 240 degree end cell equals cell cos space open parentheses 180 degree plus 60 degree close parentheses end cell row blank equals cell negative cos space 60 degree end cell row blank equals cell negative 1 half end cell row cell sin space 330 degree end cell equals cell sin space open parentheses 360 degree minus 30 degree close parentheses end cell row blank equals cell negative sin space 30 degree end cell row blank equals cell negative 1 half end cell row cell cos space 225 degree end cell equals cell cos space open parentheses 180 degree plus 45 degree close parentheses end cell row blank equals cell negative cos space 45 degree end cell row blank equals cell negative 1 half square root of 2 end cell end table 

kemudian substitusikan:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator tan squared space 225 degree plus cos space 240 degree plus sin space 330 degree over denominator cos squared space 225 degree end fraction end cell equals cell fraction numerator open parentheses 1 close parentheses squared plus open parentheses negative begin display style 1 half end style close parentheses plus open parentheses negative 1 half close parentheses over denominator open parentheses negative begin display style 1 half end style square root of 2 close parentheses squared end fraction end cell row blank equals cell fraction numerator 1 minus 1 over denominator begin display style 1 fourth end style times 2 end fraction end cell row blank equals 0 end table 

Oleh karena itu, jawaban yang benar adalah D.

684

4.7 (8 rating)

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